10013057 has 6 divisors (see below), whose sum is σ = 10568178. Its totient is φ = 9485712.

The previous prime is 10013053. The next prime is 10013063. The reversal of 10013057 is 75031001.

It can be written as a sum of positive squares in only one way, i.e., 9709456 + 303601 = 3116^2 + 551^2 .

It is not a de Polignac number, because 10013057 - 2² = 10013053 is a prime.

It is a super-2 number, since 2×10013057² = 200522620970498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13508 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (1761363).

Almost surely, 2^10013057 is an apocalyptic number.

It is an amenable number.

10013057 is a deficient number, since it is larger than the sum of its proper divisors (555121).

10013057 is an equidigital number, since it uses as much as digits as its factorization.

10013057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27775 (or 27756 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 10013057 is about 3164.3414796763. The cubic root of 10013057 is about 215.5371964009.

Adding to 10013057 its reverse (75031001), we get a palindrome (85044058).

The spelling of 10013057 in words is "ten million, thirteen thousand, fifty-seven".